Le but de cette note est de donner une expression géométrique pour les multiplicités de l'indice équivariant de l'opérateur de Dirac tordu par un fibré en lignes.
In this note, we give a geometric expression for the multiplicities of the equivariant index of a Dirac operator twisted by a line bundle.
@article{CRMATH_2014__352_9_673_0, author = {Paradan, Paul-\'Emile and Vergne, Mich\`ele}, title = {The multiplicities of the equivariant index of twisted {Dirac} operators}, journal = {Comptes Rendus. Math\'ematique}, pages = {673--677}, publisher = {Elsevier}, volume = {352}, number = {9}, year = {2014}, doi = {10.1016/j.crma.2014.05.001}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2014.05.001/} }
TY - JOUR AU - Paradan, Paul-Émile AU - Vergne, Michèle TI - The multiplicities of the equivariant index of twisted Dirac operators JO - Comptes Rendus. Mathématique PY - 2014 SP - 673 EP - 677 VL - 352 IS - 9 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2014.05.001/ DO - 10.1016/j.crma.2014.05.001 LA - en ID - CRMATH_2014__352_9_673_0 ER -
%0 Journal Article %A Paradan, Paul-Émile %A Vergne, Michèle %T The multiplicities of the equivariant index of twisted Dirac operators %J Comptes Rendus. Mathématique %D 2014 %P 673-677 %V 352 %N 9 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2014.05.001/ %R 10.1016/j.crma.2014.05.001 %G en %F CRMATH_2014__352_9_673_0
Paradan, Paul-Émile; Vergne, Michèle. The multiplicities of the equivariant index of twisted Dirac operators. Comptes Rendus. Mathématique, Tome 352 (2014) no. 9, pp. 673-677. doi : 10.1016/j.crma.2014.05.001. http://www.numdam.org/articles/10.1016/j.crma.2014.05.001/
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